Action of Laplace-Beltrami Hamiltonian on Schur polynomials in conformal field theory

الملخص EN

The action of Laplace-BeltRami operator on Fock space of symmetric Schur funcions is studied ,it is proved that Schur functions are eigen functioins of Lapace-Beltrami operator.The relation between Calogero-Sutherland model and virasoro algebra is used to build the singular vectors in term of Schur polynomials.

We proved the rectangular shape of these singular vectors by using of BRST Cohomology